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M. M. R. Williams
Nuclear Science and Engineering | Volume 26 | Number 2 | October 1966 | Pages 262-270
Technical Paper | doi.org/10.13182/NSE66-A28168
Articles are hosted by Taylor and Francis Online.
The time and space eigenvalues of the Boltzmann equation have been obtained, particular attention being given to those eigenvalues which lie close to the limit point. This has been possible by the use of a synthetic kernel, which converts the usual integral equation to a differential one: the solution of this equation is obtained by the W.K.B. method. Results have been obtained for the infinite and finite medium time eigenvalues in the gas model approximation. The eigenvalues of the scattering operator have been shown to be infinite in number—also for the gas model. For the space eigenvalues it has been shown that, for a proton gas, only the fundamental exists, all higher eigenvalues are absent. It is found that as the mass of the gas increases, more space eigenvalues appear, but for any gas of finite mass these are finite in number.